{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Transformation of random variables\n",
    "\n",
    "In this section, we work with a simple strategy to generate random samples from a uniform (0,1) distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "from numpy.random import rand, seed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = \"retina\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A first example\n",
    "\n",
    "Let $f_Y(y) = \\lambda \\exp(-\\lambda y)$ be the pdf of a random variable with $\\text{dom}(y) = [0, \\infty)$. The CDF of the random variable is given by\n",
    "\n",
    "$$\n",
    "    F_Y(y) = \\int_{0}^y f_Y(y) = 1 - \\exp(-\\lambda y)\n",
    "$$\n",
    "\n",
    "If $x\\sim U(0,1)$, we get\n",
    "\n",
    "$$\n",
    "\\begin{align*}\n",
    "    x &= 1 - \\exp(-\\lambda y)\\\\\n",
    "    \\iff y &= \\frac{1}{\\lambda}\\log(1-x)\n",
    "\\end{align*}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 266,
       "width": 717
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "seed(314)\n",
    "z = rand(500)\n",
    "lam = 0.3\n",
    "y = - np.log(1 - z) / lam\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(12, 4))\n",
    "sns.histplot(z, ax=ax[0])\n",
    "sns.histplot(y, kde=True, ax=ax[1]);\n",
    "ax[0].set_title(\"Uniform Distribution ($x$)\", fontsize=15)\n",
    "ax[1].set_title(\"Exponential Distribution $(y)$\", fontsize=15);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Box-Muller Method\n",
    "\n",
    "The Box-Muller transformation seeks to transform a pair of uniformly-distributed random variables into a pair of indepently distributed gaussians with mean 0 and standard deviation of 1.\n",
    "\n",
    "More formally, for uniformly distributed random variables $u_1, u_2 \\sim U[0, 1]$. If we consider the transformation\n",
    "\n",
    "$$\n",
    "\\begin{align*}\n",
    "    z_1 = \\sqrt{-2\\log u_1} \\cos(2\\pi u_2)\\\\\n",
    "    z_2 = \\sqrt{-2\\log u_1} \\sin(2\\pi u_2)\\\\\n",
    "\\end{align*}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def box_muller(U):\n",
    "    u1, u2 = U\n",
    "    z1 = np.sqrt(-2 * np.log(u1)) * np.cos(2 * np.pi * u2)\n",
    "    z2 = np.sqrt(-2 * np.log(u1)) * np.sin(2 * np.pi * u2)\n",
    "    return z1, z2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "N = 10_000\n",
    "U = rand(N, 2)\n",
    "Z = np.apply_along_axis(box_muller, 1, U)\n",
    "\n",
    "mu, sigma = 0, 1\n",
    "Z = mu + sigma * Z"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.JointGrid at 0x7fc32187f970>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 424,
       "width": 424
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.jointplot(x=Z[:, 0], y=Z[:, 1], kind=\"hex\",\n",
    "              xlim=(-2.5, 2.5), ylim=(-2.5, 2.5))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
